the diagonal AC of a parallelogram ABCD is bisected at o through o a line is drawn cutting CD and BA at m&n respectively prove that om=on and c m a n is a parallelogram
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In ∆OPD and ∆QBO
OP=OB(GIVEN)
ANGLE OPQ = ANGLE OQB (ALTERNATE)
ANGLE POD = ANGLE OQB (VERTICALLY OPPOSITE)
∆OPD CONGRUENT TO ∆ QOB ( BY AAS CRITERIAN)
OP=OQ (CPCTC)
PD=BQ(CPCTC).
opposite side of parallelogram are equal and hence BPDQ IS PAARALELOGRAM
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